Pointwise rates of convergence for the Oliker-Prussner method for the Monge-Ampère equation
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Publication:1713401
DOI10.1007/s00211-018-0988-9zbMath1407.65263arXiv1611.02786OpenAlexW2587352372MaRDI QIDQ1713401
Wujun Zhang, Ricardo H. Nochetto
Publication date: 25 January 2019
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.02786
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Monge-Ampère equations (35J96)
Related Items (14)
Discrete ABP estimate and convergence rates for linear elliptic equations in non-divergence form ⋮ Two-scale method for the Monge-Ampère equation: Convergence to the viscosity solution ⋮ Discrete Aleksandrov solutions of the Monge-Ampere equation ⋮ The second boundary value problem for a discrete Monge-Ampère equation ⋮ Monotone meshfree methods for linear elliptic equations in non-divergence form via nonlocal relaxation ⋮ Numerical methods for fully nonlinear and related PDEs. Abstracts from the workshop held June 27 -- July 3, 2021 (hybrid meeting) ⋮ A note on the Monge–Ampère type equations with general source terms ⋮ Convergence Rate Estimates for Aleksandrov's Solution to the Monge--Ampère Equation ⋮ Convergent Two-Scale Filtered Scheme for the Monge--Ampère Equation ⋮ Convergence rates for discretized Monge-Ampère equations and quantitative stability of optimal transport ⋮ A Newton Algorithm for Semidiscrete Optimal Transport with Storage Fees ⋮ On the weak convergence of Monge-Ampère measures for discrete convex mesh functions ⋮ A convexity enforcing \(C^0\) interior penalty method for the Monge-Ampère equation on convex polygonal domains ⋮ Two-scale methods for convex envelopes
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