A weak formulation of boundary integral equations for time dependent parabolic problems |
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| Authors: | Fiorella Sgallari |
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| Institution: | Dipartimento di Matematica, Via Vallescura 2, 40136 Bologna, Italy |
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| Abstract: | A weak formulation for ‘direct’ boundary methods for time dependent parabolic problems, deduced from distribution theory, is presented. The present approach seems particularly valuable when dealing with problems with non-integrable singularities and solutions with an exponential growth. Numerical examples are also reported for plane diffusion. |
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| Keywords: | boundary elements distribution theory time-dependent problems |
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