An adaptive SUPG method for evolutionary convection–diffusion equations
An adaptive algorithm for the numerical simulation of time-dependent convection–diffusion–reaction equations will be proposed and studied. The algorithm allows the use of the natural extension of any error estimator for the steady-state problem for controlling local refinement and coarsening. The ma...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
de Frutos, Javier [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014transfer abstract |
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| Schlagwörter: |
Streamline upwind Petrov–Galerkin (SUPG) method |
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| Umfang: |
19 |
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| Übergeordnetes Werk: |
Enthalten in: Does enhanced hydration have impact on autogenous deformation of internally cued mortar? - Zou, Dinghua ELSEVIER, 2019, Amsterdam [u.a.] |
|---|---|
| Übergeordnetes Werk: |
volume:273 ; year:2014 ; day:1 ; month:05 ; pages:219-237 ; extent:19 |
| Links: |
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| DOI / URN: |
10.1016/j.cma.2014.01.022 |
|---|
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ELV02771828X |
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| 520 | |a An adaptive algorithm for the numerical simulation of time-dependent convection–diffusion–reaction equations will be proposed and studied. The algorithm allows the use of the natural extension of any error estimator for the steady-state problem for controlling local refinement and coarsening. The main idea consists in considering the SUPG solution of the evolutionary problem as the SUPG solution of a particular steady-state convection–diffusion problem with data depending on the computed solution. The application of the error estimator is based on a heuristic argument by considering a certain term to be of higher order. This argument is supported in the one-dimensional case by numerical analysis. In the numerical studies, particularly the residual-based error estimator from [18] will be applied, which has proved to be robust in the SUPG norm. The effectivity of this error estimator will be studied and the numerical results (accuracy of the solution, fineness of the meshes) will be compared with results obtained by utilizing the adaptive algorithm proposed in [5]. | ||
| 520 | |a An adaptive algorithm for the numerical simulation of time-dependent convection–diffusion–reaction equations will be proposed and studied. The algorithm allows the use of the natural extension of any error estimator for the steady-state problem for controlling local refinement and coarsening. The main idea consists in considering the SUPG solution of the evolutionary problem as the SUPG solution of a particular steady-state convection–diffusion problem with data depending on the computed solution. The application of the error estimator is based on a heuristic argument by considering a certain term to be of higher order. This argument is supported in the one-dimensional case by numerical analysis. In the numerical studies, particularly the residual-based error estimator from [18] will be applied, which has proved to be robust in the SUPG norm. The effectivity of this error estimator will be studied and the numerical results (accuracy of the solution, fineness of the meshes) will be compared with results obtained by utilizing the adaptive algorithm proposed in [5]. | ||
| 650 | 7 | |a Adaptive grid generation |2 Elsevier | |
| 650 | 7 | |a Streamline upwind Petrov–Galerkin (SUPG) method |2 Elsevier | |
| 650 | 7 | |a Effectivity index |2 Elsevier | |
| 650 | 7 | |a Evolutionary convection–diffusion–reaction equations |2 Elsevier | |
| 650 | 7 | |a Residual-based a posteriori error estimators |2 Elsevier | |
| 700 | 1 | |a García-Archilla, Bosco |4 oth | |
| 700 | 1 | |a John, Volker |4 oth | |
| 700 | 1 | |a Novo, Julia |4 oth | |
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10.1016/j.cma.2014.01.022 doi GBVA2014001000001.pica (DE-627)ELV02771828X (ELSEVIER)S0045-7825(14)00035-8 DE-627 ger DE-627 rakwb eng 004 004 DE-600 690 VZ 56.45 bkl de Frutos, Javier verfasserin aut An adaptive SUPG method for evolutionary convection–diffusion equations 2014transfer abstract 19 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An adaptive algorithm for the numerical simulation of time-dependent convection–diffusion–reaction equations will be proposed and studied. The algorithm allows the use of the natural extension of any error estimator for the steady-state problem for controlling local refinement and coarsening. The main idea consists in considering the SUPG solution of the evolutionary problem as the SUPG solution of a particular steady-state convection–diffusion problem with data depending on the computed solution. The application of the error estimator is based on a heuristic argument by considering a certain term to be of higher order. This argument is supported in the one-dimensional case by numerical analysis. In the numerical studies, particularly the residual-based error estimator from [18] will be applied, which has proved to be robust in the SUPG norm. The effectivity of this error estimator will be studied and the numerical results (accuracy of the solution, fineness of the meshes) will be compared with results obtained by utilizing the adaptive algorithm proposed in [5]. An adaptive algorithm for the numerical simulation of time-dependent convection–diffusion–reaction equations will be proposed and studied. The algorithm allows the use of the natural extension of any error estimator for the steady-state problem for controlling local refinement and coarsening. The main idea consists in considering the SUPG solution of the evolutionary problem as the SUPG solution of a particular steady-state convection–diffusion problem with data depending on the computed solution. The application of the error estimator is based on a heuristic argument by considering a certain term to be of higher order. This argument is supported in the one-dimensional case by numerical analysis. In the numerical studies, particularly the residual-based error estimator from [18] will be applied, which has proved to be robust in the SUPG norm. The effectivity of this error estimator will be studied and the numerical results (accuracy of the solution, fineness of the meshes) will be compared with results obtained by utilizing the adaptive algorithm proposed in [5]. Adaptive grid generation Elsevier Streamline upwind Petrov–Galerkin (SUPG) method Elsevier Effectivity index Elsevier Evolutionary convection–diffusion–reaction equations Elsevier Residual-based a posteriori error estimators Elsevier García-Archilla, Bosco oth John, Volker oth Novo, Julia oth Enthalten in Elsevier Science Zou, Dinghua ELSEVIER Does enhanced hydration have impact on autogenous deformation of internally cued mortar? 2019 Amsterdam [u.a.] (DE-627)ELV002113945 volume:273 year:2014 day:1 month:05 pages:219-237 extent:19 https://doi.org/10.1016/j.cma.2014.01.022 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 56.45 Baustoffkunde VZ AR 273 2014 1 0501 219-237 19 045F 004 |
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10.1016/j.cma.2014.01.022 doi GBVA2014001000001.pica (DE-627)ELV02771828X (ELSEVIER)S0045-7825(14)00035-8 DE-627 ger DE-627 rakwb eng 004 004 DE-600 690 VZ 56.45 bkl de Frutos, Javier verfasserin aut An adaptive SUPG method for evolutionary convection–diffusion equations 2014transfer abstract 19 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An adaptive algorithm for the numerical simulation of time-dependent convection–diffusion–reaction equations will be proposed and studied. The algorithm allows the use of the natural extension of any error estimator for the steady-state problem for controlling local refinement and coarsening. The main idea consists in considering the SUPG solution of the evolutionary problem as the SUPG solution of a particular steady-state convection–diffusion problem with data depending on the computed solution. The application of the error estimator is based on a heuristic argument by considering a certain term to be of higher order. This argument is supported in the one-dimensional case by numerical analysis. In the numerical studies, particularly the residual-based error estimator from [18] will be applied, which has proved to be robust in the SUPG norm. The effectivity of this error estimator will be studied and the numerical results (accuracy of the solution, fineness of the meshes) will be compared with results obtained by utilizing the adaptive algorithm proposed in [5]. An adaptive algorithm for the numerical simulation of time-dependent convection–diffusion–reaction equations will be proposed and studied. The algorithm allows the use of the natural extension of any error estimator for the steady-state problem for controlling local refinement and coarsening. The main idea consists in considering the SUPG solution of the evolutionary problem as the SUPG solution of a particular steady-state convection–diffusion problem with data depending on the computed solution. The application of the error estimator is based on a heuristic argument by considering a certain term to be of higher order. This argument is supported in the one-dimensional case by numerical analysis. In the numerical studies, particularly the residual-based error estimator from [18] will be applied, which has proved to be robust in the SUPG norm. The effectivity of this error estimator will be studied and the numerical results (accuracy of the solution, fineness of the meshes) will be compared with results obtained by utilizing the adaptive algorithm proposed in [5]. Adaptive grid generation Elsevier Streamline upwind Petrov–Galerkin (SUPG) method Elsevier Effectivity index Elsevier Evolutionary convection–diffusion–reaction equations Elsevier Residual-based a posteriori error estimators Elsevier García-Archilla, Bosco oth John, Volker oth Novo, Julia oth Enthalten in Elsevier Science Zou, Dinghua ELSEVIER Does enhanced hydration have impact on autogenous deformation of internally cued mortar? 2019 Amsterdam [u.a.] (DE-627)ELV002113945 volume:273 year:2014 day:1 month:05 pages:219-237 extent:19 https://doi.org/10.1016/j.cma.2014.01.022 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 56.45 Baustoffkunde VZ AR 273 2014 1 0501 219-237 19 045F 004 |
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10.1016/j.cma.2014.01.022 doi GBVA2014001000001.pica (DE-627)ELV02771828X (ELSEVIER)S0045-7825(14)00035-8 DE-627 ger DE-627 rakwb eng 004 004 DE-600 690 VZ 56.45 bkl de Frutos, Javier verfasserin aut An adaptive SUPG method for evolutionary convection–diffusion equations 2014transfer abstract 19 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An adaptive algorithm for the numerical simulation of time-dependent convection–diffusion–reaction equations will be proposed and studied. The algorithm allows the use of the natural extension of any error estimator for the steady-state problem for controlling local refinement and coarsening. The main idea consists in considering the SUPG solution of the evolutionary problem as the SUPG solution of a particular steady-state convection–diffusion problem with data depending on the computed solution. The application of the error estimator is based on a heuristic argument by considering a certain term to be of higher order. This argument is supported in the one-dimensional case by numerical analysis. In the numerical studies, particularly the residual-based error estimator from [18] will be applied, which has proved to be robust in the SUPG norm. The effectivity of this error estimator will be studied and the numerical results (accuracy of the solution, fineness of the meshes) will be compared with results obtained by utilizing the adaptive algorithm proposed in [5]. An adaptive algorithm for the numerical simulation of time-dependent convection–diffusion–reaction equations will be proposed and studied. The algorithm allows the use of the natural extension of any error estimator for the steady-state problem for controlling local refinement and coarsening. The main idea consists in considering the SUPG solution of the evolutionary problem as the SUPG solution of a particular steady-state convection–diffusion problem with data depending on the computed solution. The application of the error estimator is based on a heuristic argument by considering a certain term to be of higher order. This argument is supported in the one-dimensional case by numerical analysis. In the numerical studies, particularly the residual-based error estimator from [18] will be applied, which has proved to be robust in the SUPG norm. The effectivity of this error estimator will be studied and the numerical results (accuracy of the solution, fineness of the meshes) will be compared with results obtained by utilizing the adaptive algorithm proposed in [5]. Adaptive grid generation Elsevier Streamline upwind Petrov–Galerkin (SUPG) method Elsevier Effectivity index Elsevier Evolutionary convection–diffusion–reaction equations Elsevier Residual-based a posteriori error estimators Elsevier García-Archilla, Bosco oth John, Volker oth Novo, Julia oth Enthalten in Elsevier Science Zou, Dinghua ELSEVIER Does enhanced hydration have impact on autogenous deformation of internally cued mortar? 2019 Amsterdam [u.a.] (DE-627)ELV002113945 volume:273 year:2014 day:1 month:05 pages:219-237 extent:19 https://doi.org/10.1016/j.cma.2014.01.022 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 56.45 Baustoffkunde VZ AR 273 2014 1 0501 219-237 19 045F 004 |
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10.1016/j.cma.2014.01.022 doi GBVA2014001000001.pica (DE-627)ELV02771828X (ELSEVIER)S0045-7825(14)00035-8 DE-627 ger DE-627 rakwb eng 004 004 DE-600 690 VZ 56.45 bkl de Frutos, Javier verfasserin aut An adaptive SUPG method for evolutionary convection–diffusion equations 2014transfer abstract 19 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An adaptive algorithm for the numerical simulation of time-dependent convection–diffusion–reaction equations will be proposed and studied. The algorithm allows the use of the natural extension of any error estimator for the steady-state problem for controlling local refinement and coarsening. The main idea consists in considering the SUPG solution of the evolutionary problem as the SUPG solution of a particular steady-state convection–diffusion problem with data depending on the computed solution. The application of the error estimator is based on a heuristic argument by considering a certain term to be of higher order. This argument is supported in the one-dimensional case by numerical analysis. In the numerical studies, particularly the residual-based error estimator from [18] will be applied, which has proved to be robust in the SUPG norm. The effectivity of this error estimator will be studied and the numerical results (accuracy of the solution, fineness of the meshes) will be compared with results obtained by utilizing the adaptive algorithm proposed in [5]. An adaptive algorithm for the numerical simulation of time-dependent convection–diffusion–reaction equations will be proposed and studied. The algorithm allows the use of the natural extension of any error estimator for the steady-state problem for controlling local refinement and coarsening. The main idea consists in considering the SUPG solution of the evolutionary problem as the SUPG solution of a particular steady-state convection–diffusion problem with data depending on the computed solution. The application of the error estimator is based on a heuristic argument by considering a certain term to be of higher order. This argument is supported in the one-dimensional case by numerical analysis. In the numerical studies, particularly the residual-based error estimator from [18] will be applied, which has proved to be robust in the SUPG norm. The effectivity of this error estimator will be studied and the numerical results (accuracy of the solution, fineness of the meshes) will be compared with results obtained by utilizing the adaptive algorithm proposed in [5]. Adaptive grid generation Elsevier Streamline upwind Petrov–Galerkin (SUPG) method Elsevier Effectivity index Elsevier Evolutionary convection–diffusion–reaction equations Elsevier Residual-based a posteriori error estimators Elsevier García-Archilla, Bosco oth John, Volker oth Novo, Julia oth Enthalten in Elsevier Science Zou, Dinghua ELSEVIER Does enhanced hydration have impact on autogenous deformation of internally cued mortar? 2019 Amsterdam [u.a.] (DE-627)ELV002113945 volume:273 year:2014 day:1 month:05 pages:219-237 extent:19 https://doi.org/10.1016/j.cma.2014.01.022 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 56.45 Baustoffkunde VZ AR 273 2014 1 0501 219-237 19 045F 004 |
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10.1016/j.cma.2014.01.022 doi GBVA2014001000001.pica (DE-627)ELV02771828X (ELSEVIER)S0045-7825(14)00035-8 DE-627 ger DE-627 rakwb eng 004 004 DE-600 690 VZ 56.45 bkl de Frutos, Javier verfasserin aut An adaptive SUPG method for evolutionary convection–diffusion equations 2014transfer abstract 19 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An adaptive algorithm for the numerical simulation of time-dependent convection–diffusion–reaction equations will be proposed and studied. The algorithm allows the use of the natural extension of any error estimator for the steady-state problem for controlling local refinement and coarsening. The main idea consists in considering the SUPG solution of the evolutionary problem as the SUPG solution of a particular steady-state convection–diffusion problem with data depending on the computed solution. The application of the error estimator is based on a heuristic argument by considering a certain term to be of higher order. This argument is supported in the one-dimensional case by numerical analysis. In the numerical studies, particularly the residual-based error estimator from [18] will be applied, which has proved to be robust in the SUPG norm. The effectivity of this error estimator will be studied and the numerical results (accuracy of the solution, fineness of the meshes) will be compared with results obtained by utilizing the adaptive algorithm proposed in [5]. An adaptive algorithm for the numerical simulation of time-dependent convection–diffusion–reaction equations will be proposed and studied. The algorithm allows the use of the natural extension of any error estimator for the steady-state problem for controlling local refinement and coarsening. The main idea consists in considering the SUPG solution of the evolutionary problem as the SUPG solution of a particular steady-state convection–diffusion problem with data depending on the computed solution. The application of the error estimator is based on a heuristic argument by considering a certain term to be of higher order. This argument is supported in the one-dimensional case by numerical analysis. In the numerical studies, particularly the residual-based error estimator from [18] will be applied, which has proved to be robust in the SUPG norm. The effectivity of this error estimator will be studied and the numerical results (accuracy of the solution, fineness of the meshes) will be compared with results obtained by utilizing the adaptive algorithm proposed in [5]. Adaptive grid generation Elsevier Streamline upwind Petrov–Galerkin (SUPG) method Elsevier Effectivity index Elsevier Evolutionary convection–diffusion–reaction equations Elsevier Residual-based a posteriori error estimators Elsevier García-Archilla, Bosco oth John, Volker oth Novo, Julia oth Enthalten in Elsevier Science Zou, Dinghua ELSEVIER Does enhanced hydration have impact on autogenous deformation of internally cued mortar? 2019 Amsterdam [u.a.] (DE-627)ELV002113945 volume:273 year:2014 day:1 month:05 pages:219-237 extent:19 https://doi.org/10.1016/j.cma.2014.01.022 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 56.45 Baustoffkunde VZ AR 273 2014 1 0501 219-237 19 045F 004 |
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Enthalten in Does enhanced hydration have impact on autogenous deformation of internally cued mortar? Amsterdam [u.a.] volume:273 year:2014 day:1 month:05 pages:219-237 extent:19 |
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Enthalten in Does enhanced hydration have impact on autogenous deformation of internally cued mortar? Amsterdam [u.a.] volume:273 year:2014 day:1 month:05 pages:219-237 extent:19 |
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Adaptive grid generation Streamline upwind Petrov–Galerkin (SUPG) method Effectivity index Evolutionary convection–diffusion–reaction equations Residual-based a posteriori error estimators |
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Does enhanced hydration have impact on autogenous deformation of internally cued mortar? |
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de Frutos, Javier @@aut@@ García-Archilla, Bosco @@oth@@ John, Volker @@oth@@ Novo, Julia @@oth@@ |
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an adaptive supg method for evolutionary convection–diffusion equations |
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An adaptive SUPG method for evolutionary convection–diffusion equations |
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An adaptive algorithm for the numerical simulation of time-dependent convection–diffusion–reaction equations will be proposed and studied. The algorithm allows the use of the natural extension of any error estimator for the steady-state problem for controlling local refinement and coarsening. The main idea consists in considering the SUPG solution of the evolutionary problem as the SUPG solution of a particular steady-state convection–diffusion problem with data depending on the computed solution. The application of the error estimator is based on a heuristic argument by considering a certain term to be of higher order. This argument is supported in the one-dimensional case by numerical analysis. In the numerical studies, particularly the residual-based error estimator from [18] will be applied, which has proved to be robust in the SUPG norm. The effectivity of this error estimator will be studied and the numerical results (accuracy of the solution, fineness of the meshes) will be compared with results obtained by utilizing the adaptive algorithm proposed in [5]. |
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An adaptive algorithm for the numerical simulation of time-dependent convection–diffusion–reaction equations will be proposed and studied. The algorithm allows the use of the natural extension of any error estimator for the steady-state problem for controlling local refinement and coarsening. The main idea consists in considering the SUPG solution of the evolutionary problem as the SUPG solution of a particular steady-state convection–diffusion problem with data depending on the computed solution. The application of the error estimator is based on a heuristic argument by considering a certain term to be of higher order. This argument is supported in the one-dimensional case by numerical analysis. In the numerical studies, particularly the residual-based error estimator from [18] will be applied, which has proved to be robust in the SUPG norm. The effectivity of this error estimator will be studied and the numerical results (accuracy of the solution, fineness of the meshes) will be compared with results obtained by utilizing the adaptive algorithm proposed in [5]. |
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An adaptive algorithm for the numerical simulation of time-dependent convection–diffusion–reaction equations will be proposed and studied. The algorithm allows the use of the natural extension of any error estimator for the steady-state problem for controlling local refinement and coarsening. The main idea consists in considering the SUPG solution of the evolutionary problem as the SUPG solution of a particular steady-state convection–diffusion problem with data depending on the computed solution. The application of the error estimator is based on a heuristic argument by considering a certain term to be of higher order. This argument is supported in the one-dimensional case by numerical analysis. In the numerical studies, particularly the residual-based error estimator from [18] will be applied, which has proved to be robust in the SUPG norm. The effectivity of this error estimator will be studied and the numerical results (accuracy of the solution, fineness of the meshes) will be compared with results obtained by utilizing the adaptive algorithm proposed in [5]. |
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