An Alternating Direction Galerkin Method for a Class of Second-Order Hyperbolic Equations in Two Space Variables
A new alternating-direction implicit (ADI) Galerkin method is devised and analyzed for solving a certain class of second-order hyperbolic initial-boundary value problems in two space variables. This class includes the wave equation in Cartesian coordinates, polar coordinates, and cylindrical coordin...
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| Veröffentlicht in: | SIAM journal on numerical analysis 1991-10, Vol.28 (5), p.1265-1281 |
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| container_issue | 5 |
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| container_title | SIAM journal on numerical analysis |
| container_volume | 28 |
| creator | Fernandes, Ryan I. Fairweather, Graeme |
| description | A new alternating-direction implicit (ADI) Galerkin method is devised and analyzed for solving a certain class of second-order hyperbolic initial-boundary value problems in two space variables. This class includes the wave equation in Cartesian coordinates, polar coordinates, and cylindrical coordinates with radial symmetry. Optimal a priori H10- and L2-error estimates are derived. |
| doi_str_mv | 10.1137/0728067 |
| format | Article |
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| identifier | ISSN: 0036-1429 |
| ispartof | SIAM journal on numerical analysis, 1991-10, Vol.28 (5), p.1265-1281 |
| issn | 0036-1429 1095-7170 |
| language | eng |
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| source | SIAM Journals Online; JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing |
| subjects | Albs Applied mathematics Approximation Area of dominant influence Boundary value problems Cauchy Schwarz inequality Estimation methods Exact sciences and technology Galerkin methods Logical proofs Mathematics Methods Numerical analysis Numerical analysis. Scientific computation Sciences and techniques of general use Triangle inequalities Variables Wave equations |
| title | An Alternating Direction Galerkin Method for a Class of Second-Order Hyperbolic Equations in Two Space Variables |
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