Concepedia
Journal of Computational and Applied Mathematics · 2009 · 48 citations · 8 references
Open access
Natural SciencesMathematicsDifferential EquationsFluid DynamicsConvergence AnalysisHarmonic AnalysisPartial Differential EquationsWeak FormulationCauchy ProblemHelmholtz EquationIll-posed Problem RegularizationIll-posedness AnalysisRegularizationRegularization Techniques
8
Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators
Ting Wei, Y.C. Hon, Leevan Ling · Engineering Analysis with Boundary Elements · 2007 · 188 citations · Full text
Natural Sciences, Mathematics, Physics +15
The method of fundamental solutions for the Cauchy problem associated with two-dimensional Helmholtz-type equations
Liviu Marin, D. Lesnic · Computers & Structures · 2004 · 157 citations
Natural Sciences, Physics, Differential Equations +10
Conjugate gradient-boundary element solution to the Cauchy problem for Helmholtz-type equations
Liviu Marin, L. Elliott, Peter J. Heggs et al. · Computational Mechanics · 2003 · 123 citations
Natural Sciences, Mathematics, Computational Mechanics +12
An alternating iterative algorithm for the Cauchy problem associated to the Helmholtz equation
Liviu Marin, L. Elliott, Peter J. Heggs et al. · Computer Methods in Applied Mechanics and Engineering · 2003 · 113 citations
Natural Sciences, Mathematics, Physics +11
BEM solution for the Cauchy problem associated with Helmholtz-type equations by the Landweber method
Liviu Marin, L. Elliott, Peter J. Heggs et al. · Engineering Analysis with Boundary Elements · 2004 · 82 citations
Natural Sciences, Mathematics, Differential Equations +9