Adaptive FEM for reaction diffusion equations:
Abstract: "An integrated time-space adaptive finite element method for solving mixed systems of nonlinear parabolic, elliptic, and differential algebraic equations is presented. The approach is independent of the spatial dimension. For the discretization in time we use singly diagonally linearl...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1996
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| Schriftenreihe: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC
1996,28 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "An integrated time-space adaptive finite element method for solving mixed systems of nonlinear parabolic, elliptic, and differential algebraic equations is presented. The approach is independent of the spatial dimension. For the discretization in time we use singly diagonally linearly implicit Runge-Kutta methods of Rosenbrock type. Local time errors for the step size control are defined by an embedded strategy. A multilevel finite element Galerkin method is subsequently applied for the discretization in space. A posteriori estimates of local spatial discretization errors are obtained solving local problems with higher order approximation. Superconvergence arguments allow to simplify the required computations. Two different strategies to obtain the start grid of the multilevel process are compared. The devised method is applied to a solid- solid combustion problem." |
| Beschreibung: | 19 S. |
Internformat
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| 100 | 1 | |a Lang, Jens |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Adaptive FEM for reaction diffusion equations |c Jens Lang |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 1996 | |
| 300 | |a 19 S. | ||
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| 490 | 1 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1996,28 | |
| 520 | 3 | |a Abstract: "An integrated time-space adaptive finite element method for solving mixed systems of nonlinear parabolic, elliptic, and differential algebraic equations is presented. The approach is independent of the spatial dimension. For the discretization in time we use singly diagonally linearly implicit Runge-Kutta methods of Rosenbrock type. Local time errors for the step size control are defined by an embedded strategy. A multilevel finite element Galerkin method is subsequently applied for the discretization in space. A posteriori estimates of local spatial discretization errors are obtained solving local problems with higher order approximation. Superconvergence arguments allow to simplify the required computations. Two different strategies to obtain the start grid of the multilevel process are compared. The devised method is applied to a solid- solid combustion problem." | |
| 650 | 4 | |a Algebra | |
| 650 | 4 | |a Differential equations |x Numerical solutions | |
| 830 | 0 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1996,28 |w (DE-604)BV004801715 |9 1996,28 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007386206 | |
Datensatz im Suchindex
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| author | Lang, Jens |
| author_facet | Lang, Jens |
| author_role | aut |
| author_sort | Lang, Jens |
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| building | Verbundindex |
| bvnumber | BV011030699 |
| classification_rvk | SS 4777 |
| ctrlnum | (OCoLC)37709972 (DE-599)BVBBV011030699 |
| discipline | Informatik |
| format | Book |
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| id | DE-604.BV011030699 |
| illustrated | Not Illustrated |
| indexdate | 2025-01-10T17:07:56Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007386206 |
| oclc_num | 37709972 |
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| physical | 19 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| series2 | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| spelling | Lang, Jens Verfasser aut Adaptive FEM for reaction diffusion equations Jens Lang Berlin Konrad-Zuse-Zentrum für Informationstechnik 1996 19 S. txt rdacontent n rdamedia nc rdacarrier Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1996,28 Abstract: "An integrated time-space adaptive finite element method for solving mixed systems of nonlinear parabolic, elliptic, and differential algebraic equations is presented. The approach is independent of the spatial dimension. For the discretization in time we use singly diagonally linearly implicit Runge-Kutta methods of Rosenbrock type. Local time errors for the step size control are defined by an embedded strategy. A multilevel finite element Galerkin method is subsequently applied for the discretization in space. A posteriori estimates of local spatial discretization errors are obtained solving local problems with higher order approximation. Superconvergence arguments allow to simplify the required computations. Two different strategies to obtain the start grid of the multilevel process are compared. The devised method is applied to a solid- solid combustion problem." Algebra Differential equations Numerical solutions Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1996,28 (DE-604)BV004801715 1996,28 |
| spellingShingle | Lang, Jens Adaptive FEM for reaction diffusion equations Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC Algebra Differential equations Numerical solutions |
| title | Adaptive FEM for reaction diffusion equations |
| title_auth | Adaptive FEM for reaction diffusion equations |
| title_exact_search | Adaptive FEM for reaction diffusion equations |
| title_full | Adaptive FEM for reaction diffusion equations Jens Lang |
| title_fullStr | Adaptive FEM for reaction diffusion equations Jens Lang |
| title_full_unstemmed | Adaptive FEM for reaction diffusion equations Jens Lang |
| title_short | Adaptive FEM for reaction diffusion equations |
| title_sort | adaptive fem for reaction diffusion equations |
| topic | Algebra Differential equations Numerical solutions |
| topic_facet | Algebra Differential equations Numerical solutions |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT langjens adaptivefemforreactiondiffusionequations |