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A continuous space-time finite element method for the wave equation
Author(s):
Donald
A.
French;
Todd
E.
Peterson.
Journal:
Math. Comp.
65
(1996),
491-506.
MSC (1991):
Primary 65M15
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Abstract:
We consider a finite element method for the nonhomogeneous second-order wave equation, which is formulated in terms of continuous approximation functions in both space and time, thereby giving a unified treatment of the spatial and temporal discretizations. Our analysis uses primarily energy arguments, which are quite common for spatial discretizations but not for time. We present a priori nodal (in time) superconvergence error estimates without any special time step restrictions. Our method is based on tensor-product spaces for the full discretization.
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Additional Information:
Donald
A.
French
Affiliation:
Department of Mathematical Sciences (ML 25), University of Cincinnati, Cincinnati, Ohio 45221
Todd
E.
Peterson
Affiliation:
Department of Applied Mathematics, University of Virginia, Charlottesville, Virginia 22903
DOI:
10.1090/S0025-5718-96-00685-0
PII:
S 0025-5718(96)00685-0
Received by editor(s):
August 3, 1994
Received by editor(s) in revised form:
March 6, 1995
Additional Notes:
Research of the first author was supported in part by the University of Cincinnati through the University Research Council and Taft Grants-in-aid as well as the Army Research Office by grant 28535-MA
Copyright of article:
Copyright
1996,
American Mathematical Society
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