Scripted HTML version of Foils prepared 11 November 1996

Foil 9 Closed Boundaries; Dirichlet and Neumann Conditions
Summary of what PDE Types have What Boundary Conditions

From CPS615-Basic PDE Solver Discussion and Sparse Matrix Formulation Delivered Lectures of CPS615 Basic Simulation Track for Computational Science -- 8 November 96. by Geoffrey C. Fox *
Secs 408.9
Another problem with Cauchy conditions on closed boundary
Two other types of boundary conditions
  • Dirichlet Boundary Conditions: y is specified at every point of C
  • Neumann Boundary Conditions: ¶y/¶n is specified at every point of C
Boundary conditions to give solutions for types of equations
Equation Type -- Boundary Curve -- Boundary Data -- Example
Hyperbolic Open Cauchy Wave Equation
Parabolic Open Dirichilet or Neumann Diffusion Equation
Elliptic Closed Dirichilet or Neumann Laplace's Equation

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