Localized boundary-domain integral formulations for problems with variable coefficients

By Sergey E. Mikhailov. 2002

121 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8cc1a9f3885d1f57727937211dc2a9e5c3dbf525

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Vladimír Sládek
2. Ján Sládek
3. Ch. Zhang
4. I. Nakhova
5. Martin Schanz
6. Martin Costabel
7. Qing-Hua Qin
8. Hui Wang

In Mechanics of Materials

1. Vladimír Sládek
2. Ján Sládek
3. I. Nakhova
4. Ch. Zhang
5. Sergey E. Mikhailov
6. Martin Schanz
7. Chuan Zhang
8. Martin Costabel

Citations in the corpus

• Mesh-based numerical implementation of the localized boundary-domain integral-equation method to a variable-coefficient Neumann problem (2005, methodology): “[4], was used in [9] for numerical solution for the BVP of heat transfer for an inhomogeneous material in conjunction with the piece-wise polynomial approximation of the solution.”
• Meshless local Petrov-Galerkin method for continuously nonhomogeneous linear viscoelastic solids (2006, background): “Many of them are derived from a weak-form formulation on global domain (Belytschko et al., 1994) or a set of local subdomains (Atluri, 2004, Sladek et al., 2003a,b; Mikhailov, 2002 ).”
• Local integro-differential equations with domain elements for the numerical solution of partial differential equations with variable coefficients (2005, background): “Mikhailov [ 28 ] and Mikhailov and Nakhova [29] proposed to use localized boundary-domain-integral equations for solution BVPs governed by PDEs with variable coefficients.”