عنوان
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Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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integro-differential equation, fractional order viscoelasticity, discontinuous Galerkin method, weakly singular kernel, stability, a priori estimate
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چکیده
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An integro-differential equation, modeling dynamic fractional order viscoelasticity, with a Mittag-Leffler type convolution kernel is considered. A discontinuous Galerkin method, based on piecewise constant polynomials is formulated for temporal semidiscretization of the problem. Stability estimates of the discrete problem are proved, that are used to prove optimal order a priori error estimates. The theory is illustrated by a numerical example.
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پژوهشگران
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فردین ساعد پناه (نفر سوم)، میلنا رچوا (نفر دوم)، استیگ لارسون (نفر اول)
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