By Glen A. Hansen, Rod W. Douglass, Andrew Zardecki

This booklet specializes in mesh (grid) enhancement recommendations - particularly, using chosen elliptic equipment for either established and unstructured meshes linked to computational physics purposes. Mesh enhancement is the method during which an current mesh is changed to higher meet the necessities of the physics software. to supply the reader with enough heritage info, seven of the 9 chapters include a precis of the numerical simulation strategy, easy history on mesh terminology and new release ways, computational geometry, discretization of differential equations, tools of fixing linear and nonlinear algebraic platforms, geometry of surfaces in Euclidean area, and basic elliptic equipment for mesh enhancement. additionally, those chapters use the concept that of harmonic coordinates to improve a unifying framework, the Laplace-Beltrami process, that's the governing precept of the ebook. the ultimate chapters observe this scheme, in addition to different chosen elliptic equipment, to numerous dependent and unstructured instance difficulties.