scholarly journals On conservation and dual consistency for summation-by-parts based approximations of parabolic problems

2020 ◽  
Vol 410 ◽  
pp. 109282
Author(s):  
Fatemeh Ghasemi ◽  
Jan Nordström
Keyword(s):  
Parabolic Problems ◽  
Summation By Parts ◽  
Dual Consistency

scholarly journals On the relation between conservation and dual consistency for summation-by-parts schemes

2017 ◽  
Vol 344 ◽  
pp. 437-439 ◽  
Author(s):  
Jan Nordström ◽  
Fatemeh Ghasemi
Keyword(s):  
Summation By Parts ◽  
Dual Consistency

High-Order Finite Element Methods for Singularly-Perturbed Elliptic and Parabolic Problems.

1993 ◽  
Author(s):  
Slimane Adjerid ◽  
Mohammed Aiffa ◽  
Joseph E. Flaherty
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
High Order ◽  
Singularly Perturbed ◽  
Parabolic Problems

Protection Zones in Periodic-Parabolic Problems

2020 ◽  
Vol 20 (2) ◽  
pp. 253-276
Author(s):  
Julián López-Gómez
Keyword(s):  
Mixed Type ◽  
Principal Eigenvalue ◽  
Boundary Operator ◽  
General Boundary ◽  
Parabolic Problems ◽  
Parabolic Operator ◽  
Protection Zones ◽  
Competitive Environments

AbstractThis paper characterizes whether or not\Sigma_{\infty}\equiv\lim_{\lambda\uparrow\infty}\sigma[\mathcal{P}+\lambda m(% x,t),\mathfrak{B},Q_{T}]is finite, where {m\gneq 0} is T-periodic and {\sigma[\mathcal{P}+\lambda m(x,t),\mathfrak{B},Q_{T}]} stands for the principal eigenvalue of the parabolic operator {\mathcal{P}+\lambda m(x,t)} in {Q_{T}\equiv\Omega\times[0,T]} subject to a general boundary operator of mixed type, {\mathfrak{B}}, on {\partial\Omega\times[0,T]}. Then this result is applied to discuss the nature of the territorial refuges in periodic competitive environments.

Stability in 𝐿𝑞-norm for inverse source parabolic problems

2020 ◽  
Vol 28 (6) ◽  
pp. 797-814
Author(s):  
Elena-Alexandra Melnig
Keyword(s):  
Parabolic Equations ◽  
Main Tool ◽  
Parabolic Systems ◽  
Carleman Estimates ◽  
Parabolic Problems ◽  
Lebesgue Spaces ◽  
First Order ◽  
Lipschitz Estimates ◽  
Systems Of Parabolic Equations

AbstractWe consider systems of parabolic equations coupled in zero and first order terms. We establish Lipschitz estimates in {L^{q}}-norms, {2\leq q\leq\infty}, for the source in terms of the solution in a subdomain. The main tool is a family of appropriate Carleman estimates with general weights, in Lebesgue spaces, for nonhomogeneous parabolic systems.

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