Convergence of Cell Based Finite Volume Discretizations for Problems of Control in the Conduction Coefficients

DOI10.1051/m2an/2011012zbMath1269.65107OpenAlexW2011683089WikidataQ61637247 ScholiaQ61637247MaRDI QIDQ2839147

Misha Marie Gregersen, Mads Peter Sørensen, Anton Evgrafov

Publication date: 4 July 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2011012

zbMATH Keywords

convergencenumerical examplefinite volume methodsLaplace equationnonlinear elliptic equationtopology optimizationsteady state heat conduction

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Nonlinear elliptic equations (35J60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (5)

Topology optimization of freely floating elastic continua using the inertia relief method ⋮ Unnamed Item ⋮ Control in the coefficients with variational crimes: application to topology optimization of Kirchhoff plates ⋮ Penalization model for Navier–Stokes–Darcy equations with application to porosity-oriented topology optimization ⋮ Topology optimization of turbulent flows

This page was built for publication: Convergence of Cell Based Finite Volume Discretizations for Problems of Control in the Conduction Coefficients