A Petrov-Galerkin multilayer discretization to second order elliptic boundary value problems

DOI10.1016/j.camwa.2019.01.028zbMath1442.65350arXiv1807.05796OpenAlexW2962736395WikidataQ128360037 ScholiaQ128360037MaRDI QIDQ2204028

Daniel Franco Coronil, Tómas Chacón-Rebollo, Frederic Hecht

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.05796

zbMATH Keywords

finite differencestransposition solutionPetrov-Galerkin discretizationsmultilayer methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Unnamed Item
• A class of discontinuous Petrov-Galerkin methods. I: The transport equation
• Functional analysis, Sobolev spaces and partial differential equations
• Multilayer shallow water models with locally variable number of layers and semi-implicit time discretization
• The discontinuous Petrov-Galerkin method for elliptic problems
• Variational discretization of elliptic boundary value problems.
• Theory and practice of finite elements.
• A multilayer shallow model for dry granular flows with the -rheology: application to granular collapse on erodible beds
• VERTICALLY AVERAGED MODELS FOR THE FREE SURFACE NON-HYDROSTATIC EULER SYSTEM: DERIVATION AND KINETIC INTERPRETATION
• A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
• Analysis of the DPG Method for the Poisson Equation
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• A Discontinuous Petrov--Galerkin Method with Lagrangian Multipliers for Second Order Elliptic Problems

This page was built for publication: A Petrov-Galerkin multilayer discretization to second order elliptic boundary value problems