A Petrov Galerkin finite-element method for interface problems arising in sensitivity computa\-tions

DOI10.1016/j.camwa.2004.06.037zbMath1087.65078OpenAlexW1990969382MaRDI QIDQ814053

John A. Burns, L. G. Stanley, Tao Lin

Publication date: 2 February 2006

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.06.037

zbMATH Keywords

convergencesensitivity analysisnumerical examplesheat conduction1D Elliptic Interface ProblemsPetrov Galerkin finite elements

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (5)

Sensitivity equations for a size-structured population model ⋮ An iteratively adaptive multiscale finite element method for elliptic interface problems ⋮ Approximation of solutions to operator equations in spaces of smooth functions and in spaces of distributions ⋮ Differentiability with respect to parameters of weak solutions of linear parabolic equations ⋮ Sensitivity analysis and parameter estimation for a model of Chlamydia Trachomatis infection

Cites Work

• A relaxation procedure for domain decomposition methods using finite elements
• Differential and algebraic Riccati equations with application to boundary/point control problems: Continuous theory and approximation theory
• The immersed finite volume element methods for the elliptic interface problems
• Discretisation and multigrid solution of elliptic equations with mixed derivative terms and strongly discontinuous coefficients
• A PDE sensitivity equation method for optimal aerodynamic design
• New Cartesian grid methods for interface problems using the finite element formulation
• Derivative with respect to discontinuities in the porosity
• Parametric uncertainty analysis for thermal fluid calculations.
• SENSITIVITY EQUATION METHODS FOR PARAMETER DEPENDENT ELLIPTIC^*
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• A note on the use of transformations in sensitivity computations for elliptic systems
• Numerical methods for accurate computation of design sensitivities for two-dimensional Navier-Stokes problems
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