The embedded curved boundary method for orthogonal simulation meshes

DOI10.1006/jcph.1997.5835zbMath0897.65069OpenAlexW1984895966MaRDI QIDQ1383032

Dennis W. Hewett

Publication date: 28 September 1998

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1997.5835

zbMATH Keywords

numerical resultsfinite element methodelliptic problemsorthogonal gridscurved boundary dataembedded curved boundary methodflow between curved electrodes

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Motion of charged particles (78A35)

Related Items (9)

Interior penalty bilinear IFE discontinuous Galerkin methods for elliptic equations with discontinuous coefficient ⋮ Locally conformal finite-difference time-domain techniques for particle-in-cell plasma simulation ⋮ A Bilinear Petrov-Galerkin Finite Element Method for Solving Elliptic Equation with Discontinuous Coefficients ⋮ An Immersed Finite Element Method for Elliptic Interface Problems with Multi-Domain and Triple Junction Points ⋮ Immersed finite element methods for parabolic equations with moving interface ⋮ A selective immersed discontinuous Galerkin method for elliptic interface problems ⋮ A fourth-order kernel-free boundary integral method for the modified Helmholtz equation ⋮ The embedded finite difference method for the Poisson equation in a domain with an irregular boundary and Dirichlet boundary conditions ⋮ Quadratic immersed finite element spaces and their approximation capabilities

Cites Work

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• A numerical method for suspension flow
• An adaptive finite element scheme for transient problems in CFD
• A parallel DSDADI method for solution of the steady state diffusion equation
• Solution of simultaneous partial differential equations using dynamic ADI: Solution of the streamlined Darwin field equations
• Numerical analysis of blood flow in the heart
• Dynamic and selective control of the number of particles in kinetic plasma simulations
• Low-frequency electromagnetic (Darwin) applications in plasma simulation
• Dynamic ADI Methods for Elliptic Equations
• Fast Parallel Iterative Solution of Poisson’s and the Biharmonic Equations on Irregular Regions

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