Reliable Numerical Solution of a Class of Nonlinear Elliptic Problems Generated by the Poisson–Boltzmann Equation

Authors: Kraus, Johannes, Nakov, Svetoslav, Repin, Sergey I.

Source: Computational Methods in Applied Mathematics. 20:293-319

Subject Terms: a priori error estimates, Numerical Analysis (math.NA), convergence of finite element approximations, 16. Peace & justice, 01 natural sciences, guaranteed and efficient a posteriori error bounds, existence and uniqueness of solutions, semilinear partial differential equations, 65J15, 49M29, 65N15, 65N30, 65N50, 35J20, Mathematik, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Poisson-Boltzmann equation, differentiaaliyhtälöt, error indicators and adaptive mesh refinement

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Access URL: http://arxiv.org/pdf/1803.05668
http://arxiv.org/abs/1803.05668
http://ui.adsabs.harvard.edu/abs/2018arXiv180305668K/abstract
https://arxiv.org/pdf/1803.05668.pdf
https://arxiv.org/abs/1803.05668
http://urn.fi/URN:NBN:fi:jyu-202005273513
https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85067455457
https://doi.org/10.1515/cmam-2018-0252

Reliable Numerical Solution of a Class of Nonlinear Elliptic Problems Generated by the Poisson–Boltzmann Equation

Authors: Kraus, Johannes, Nakov, Svetoslav, Repin, Sergey

Subject Terms: Poisson-Boltzmann equation, semilinear partial differential equations, existence and uniqueness of solutions, convergence of finite element approximations, a priori error estimates, guaranteed and efficient a posteriori error bounds, error indicators and adaptive mesh refinement, differentiaaliyhtälöt

File Description: application/pdf; 293-319; fulltext

Relation: Computational Methods in Applied Mathematics; 20

Availability: http://urn.fi/URN:NBN:fi:jyu-202005273513