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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
It is assumed that the interface cannot be fitted exactly.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:We present the solution of a second-order nonlinear parabolic interface problem on a quasiuniform triangular finite element with a linearized four-step implicit scheme used for the time discretization.
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Temel Bulgular & Veri:The convergence of the scheme in $L^2$-norm is established under certain regularity assumptions using interpolation and elliptic projection operators.
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Sonuç & Katkı:It is assumed that the interface cannot be fitted exactly.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Four-step implicit · interface · almost-optimal
Abstract
We present the solution of a second-order nonlinear parabolic interface problem on a quasiuniform triangular finite element with a linearized four-step implicit scheme used for the time discretization. The convergence of the scheme in $L^2$-norm is established under certain regularity assumptions using interpolation and elliptic projection operators. A numerical experiment is presented to support the theoretical result. It is assumed that the interface cannot be fitted exactly.
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Bu Makaleye Atıf Yap
ADEWOLE, M. O., PAYNE, V. F. (2018). Linearized four-step implicit scheme for nonlinear parabolic interface problems. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 6, 3034–3049. https://ajindex.com/articles/227817