A penalty-regularization-operator splitting method for the numerical solution of a scalar eikonal equation

DOI10.1007/s11401-015-0930-8zbMath1325.65089OpenAlexW2130774704MaRDI QIDQ746366

Roland Glowinski, Alexandre Caboussat

Publication date: 16 October 2015

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-015-0930-8

zbMATH Keywords

minimal and maximal solutionsfinite element methodsinitial value problemoperator splittingnumerical experimentEuler-Lagrange equationeikonal equationregularization methodsdynamical flowpenalization of equality constraints

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical methods of relaxation type (49M20) Hamilton-Jacobi equations (35F21)

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A Continuous Finite Element Method with Homotopy Vanishing Viscosity for Solving the Static Eikonal Equation ⋮ A least-squares method for the solution of the non-smooth prescribed Jacobian equation ⋮ Numerical Approximation of Orthogonal Maps ⋮ An anisotropic adaptive method for the numerical approximation of orthogonal maps ⋮ An Alternating Direction Method of Multipliers for the Numerical Solution of a Fully Nonlinear Partial Differential Equation Involving the Jacobian Determinant

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