Mathematical Physics - Volume II - Numerical Methods

Index

non-collocational method, 188

numerical, 113 physical, 113

ADI schemes, 120 algebraic non-orthogonal grid, 115 apparent (2D) material properties, 247

canon triangle, 63 central difference scheme, 111 Characteristic form of Euler equations, 138 characteristic line, 126 characteristic lines, 127 characteristic variables, 119, 137 consistency, 12 constitutive equation, 29 continuum particle, 219 contravariant base vector, 80 control volume, 110 control volumes, 110 Courant number, 114 Crank - Nicolson method, 14

backward difference, 14 base function

rectangular element, 83 triangular element, 83

base functions, 37

finite element, 37 global, 66 Bernoulli-Euler beams, 252 block-diagonal procedure, 131 bond rupture criteria, 256 bonded-particle model, 265 boundary condition essential, 88 boundary conditions essential, 34, 82 natural, 34, 82

damping, 263 deformation energy, 245 difference operators, 112 diffusion equation, 14