ABSTRACT

Boundary Methods: Elements, Contours, and Nodes presents the results of cutting-edge research in boundary-based mesh-free methods. These methods combine the dimensionality advantage of the boundary element method with the ease of discretization of mesh-free methods, both of which, for some problems, hold distinct advantages over the finite element

part |2 pages

I SELECTED TOPICS IN BOUNDARY ELEMENT METHODS

chapter 1|20 pages

BOUNDARY INTEGRAL EQUATIONS

chapter 2|16 pages

ERROR ESTIMATION

chapter 3|26 pages

THIN FEATURES

part |2 pages

II THE BOUNDARY CONTOUR METHOD

chapter 4|26 pages

LINEAR ELASTICITY

chapter 5|22 pages

SHAPE SENSITIVITY ANALYSIS

chapter 6|10 pages

SHAPE OPTIMIZATION

chapter 7|8 pages

ERROR ESTIMATION AND ADAPTIVITY

part |2 pages

III THE BOUNDARY NODE METHOD

chapter 8|16 pages

SURFACE APPROXIMANTS

chapter 9|24 pages

POTENTIAL THEORY AND ELASTICITY

chapter 10|18 pages

ADAPTIVITY FOR 3-D POTENTIAL THEORY

chapter 11|10 pages

ADAPTIVITY FOR 3-D LINEAR ELASTICITY