A Rational Finite Element BasisA Rational Finite Element Basis |
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Contents
1 | |
Chapter 2 THE QUADRILATERAL | 32 |
Chapter 3 RATIONAL WEDGES FOR SELECTED POLYCONS | 52 |
Chapter 4 ALGEBRAIC GEOMETRY FOUNDATIONS | 88 |
Chapter 5 RATIONAL WEDGE CONSTRUCTION FOR POLYCONS AND POLYPOLS | 126 |
Chapter 6 APPROXIMATION OF HIGHER DEGREE | 177 |
Chapter 7 THREEDIMENSIONAL APPROXIMATION | 206 |
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Common terms and phrases
3-con of order absolute line adjacent factor adjoint adjoint curve Algebraic Curves algebraic elements algebraic geometry analysis applies basis for degree boundary curve Chapter coefficients component congruence conic side cubic curve of order deficit points defined degree one approximation degree two approximation degrees of freedom denominator denote determined double point dx dy equations example face finite element computation finite element method homogeneous coordinates integrals interior nodes intersection points irreducible linear form linear side maximal degree maximal order multiple points obtain parallelogram patchwork approximation poly polycon polycondron polycube polynomial of degree projective plane properties quadratic quadratic function quadrature quadric quadrilateral quadrilateral wedges rational basis functions rational wedge Section segment shown in Fig side nodes singular points tangent Theorem tion triangle triple point unique vanishes vertex vertex node vertices wedge basis functions wedge construction wedge functions well-set polycons yields zero polynomial