THE CONVERGENCE OF A MULTIDIMENSIONAL, LOCALLY CONSERVATIVE EULERIAN–LAGRANGIAN FINITE ELEMENT METHOD FOR A SEMILINEAR PARABOLIC EQUATION

DOI10.1142/S0218202510004246zbMath1187.65100OpenAlexW2030189650MaRDI QIDQ5305089

Jim jun. Douglas, Son-Young Jun. Yi, Anna Maria Spagnuolo

Publication date: 19 March 2010

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202510004246

zbMATH Keywords

convergencesemilinear parabolic equationslocally conservative Euler-Lagrange finite element method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Semilinear parabolic equations (35K58) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (4)

A locally conservative eulerian-Lagrangian finite difference method for the forced KdV equation ⋮ Unnamed Item ⋮ Fuzzification of the miscible displacement model in heterogeneous porous media ⋮ A POSTERIORI ERROR ANALYSIS OF THE METHOD OF CHARACTERISTICS

Cites Work

• Development and analysis of higher order finite volume methods over rectangles for elliptic equations
• A locally conservative Eulerian--Lagrangian numerical method and its application to nonlinear transport in porous media
• An Inexpensive Method for the Evaluation of the Solution of the Lowest Order Raviart–Thomas Mixed Method
• Time Stepping Along Characteristics with Incomplete Iteration for a Galerkin Approximation of Miscible Displacement in Porous Media
• A Characteristics-Mixed Finite Element Method for Advection-Dominated Transport Problems

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