Adaptive Hybrid Mixed Finite Element Discretization of Instationary Variably Saturated Flow in Porous Media

Knabner P, Schneid E (2002)

Publication Type: Book chapter / Article in edited volumes

Publication year: 2002

Publisher: Springer

Edited Volumes: High Performance Scientific And Engineering Computing

Series: Lecture Notes in Computational Science and Engineering

City/Town: Berlin, Heidelberg

Book Volume: 21

Pages Range: 37-44

ISBN: 978-3-540-42946-3

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2002/2002_KnSchneid_AdaptHybridMixedFiniteElementDiscretiOfInstatVariablySaturFlowInPM

DOI: 10.1007/978-3-642-55919-8_4

Abstract

For the Richards equation, a nonlinear elliptic-parabolic partial differential equation modelling saturated-unsaturated flow in porous media, we present a hybrid mixed finite element discretization. The efficiency of the algorithm is improved by local time step and grid adaption. The adaption algorithms are based on rigorous error estimators, whose derivation is indicated. Examples elucidate the performance of the algorithm

Authors with CRIS profile

Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

How to cite

APA:

Knabner, P., & Schneid, E. (2002). Adaptive Hybrid Mixed Finite Element Discretization of Instationary Variably Saturated Flow in Porous Media. In Michael Breuer, Franz Durst, Christoph Zenger (Eds.), High Performance Scientific And Engineering Computing. (pp. 37-44). Berlin, Heidelberg: Springer.

MLA:

Knabner, Peter, and Eckhard Schneid. "Adaptive Hybrid Mixed Finite Element Discretization of Instationary Variably Saturated Flow in Porous Media." High Performance Scientific And Engineering Computing. Ed. Michael Breuer, Franz Durst, Christoph Zenger, Berlin, Heidelberg: Springer, 2002. 37-44.

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