Adaptive Modelling of Coupled Hydrological Processes with Application in Water Management

DOI10.1007/978-3-642-25100-9_65zbMath1348.76034OpenAlexW152677203MaRDI QIDQ2905494

Patrick Henning, Nina Shokina, Gerd Schiffler, Heiko Berninger, Christian Engwer, Kathrin Smetana, Peter Bastian, Oliver Sander, Ralf Kornhuber, Dietmar B. Kröner, Mario Ohlberger, Andreas Dedner

Publication date: 27 August 2012

Published in: Mathematics in Industry (Search for Journal in Brave)

Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-179849

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Uses Software

• DUNE

Cites Work

• A wetting and drying treatment for the Runge-Kutta discontinuous Galerkin solution to the shallow water equations
• A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE
• Variational inequalities for modeling flow in heterogeneous porous media with entry pressure
• Convergence Behaviour of Dirichlet–Neumann and Robin Methods for a Nonlinear Transmission Problem
• Infrastructure for the Coupling of Dune Grids
• Fast and Robust Numerical Solution of the Richards Equation in Homogeneous Soil