Concepedia

Localized Boundary-Domain Singular Integral Equations Based on Harmonic Parametrix for Divergence-Form Elliptic PDEs with Variable Matrix Coefficients

O. Chkadua, Sergey E. Mikhailov, David Natroshvili

Integral Equations and Operator Theory · 2013 · 29 citations · 18 references

Concepts

Natural SciencesComputational EngineeringDifferential EquationsFluid DynamicsBoundary ConditionsIntegral Equation FormulationsIntegral EquationsMoving Boundary ProblemsPartial Differential EquationsWeak FormulationBoundary Integral Equation FormulationsBoundary Integral EquationsBoundary Variational FormulationElliptic Boundary-value ProblemsElliptic Partial Differential EquationsInitial-boundary Value ProblemsSingular Integral Equations

References

18

Boundary Integral Operators on Lipschitz Domains: Elementary Results

Martin Costabel · SIAM Journal on Mathematical Analysis · 1988 · 898 citations

Engineering, Computational Engineering, Computational Fluid Dynamics +16

Boundary problems for pseudo-differential operators

L. Boutet de Monvel · Acta Mathematica · 1971 · 546 citations · Full text

Natural Sciences, Mathematics, Physics +14

A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach

Tengteng Zhu, J.-D. Zhang, Satya N. Atluri · Computational Mechanics · 1998 · 447 citations

Computing, Computational Engineering, Physics +13

Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties

J. Sládek, V. Sládek, Satya N. Atluri · Computational Mechanics · 2000 · 141 citations

Natural Sciences, Computational Engineering, Physics +13

Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains

Sergey E. Mikhailov · Journal of Mathematical Analysis and Applications · 2010 · 126 citations · Full text

Natural Sciences, Mathematics, Fluid Dynamics +10