The patch test as a validation of a new finite element for the solution of convection-diffusion equations

DOI10.1016/0045-7825(95)00784-XzbMath0948.78013OpenAlexW2030610846MaRDI QIDQ1578641

Emilio Gatti, Laura Gotusso, Riccardo Sacco

Publication date: 4 September 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(95)00784-x

zbMATH Keywords

finite element methodboundary value problemconvection-diffusionnumerical solutionsemiconductor devices

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Motion of charged particles (78A35)

Related Items

A class of finite element methods with averaging techniques for solving the three-dimensional drift-diffusion model in semiconductor device simulations, Exponentially fitted shape functions for advection-dominated flow problems in two dimensions, Finite element methods for convection-diffusion problems using exponential splines on triangles, Three-dimensional exponentially fitted conforming tetrahedral finite elements for the semiconductor continuity equations, Flux-upwind stabilization of the discontinuous Petrov–Galerkin formulation with Lagrange multipliers for advection-diffusion problems, Genetic Exponentially Fitted Method for Solving Multi-dimensional Drift-diffusion Equations, An analysis of a conforming exponentially fitted finite element method for a convection-diffusion problem

Cites Work

• Numerical simulation of semiconductor devices
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• Stabilized finite element methods. I.: Application to the advective- diffusive model
• Convergence of a second-order accurate Petrov-Galerkin scheme for convection-diffusion problems in semiconductors
• Two-Dimensional Exponential Fitting and Applications to Drift-Diffusion Models
• Engineering applications of numerical integration in stiffness methods.
• RELAXATION METHODS APPLIED TO DETERMINE THE MOTION, IN TWO DIMENSIONS, OF A VISCOUS FLUID PAST A FIXED CYLINDER
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