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SIAMNUM
2016
3 years 14 days ago
Error Estimates of a First-order Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations
This paper establishes a O(h 1 4 ) error estimate in the L∞ t (L1 x)-norm for the approximation of scalar conservation equations using an explicit continuous finite element tech...
Jean-Luc Guermond, Bojan Popov
SIAMNUM
2016
3 years 14 days ago
Backward Step Control for Global Newton-Type Methods
We present and analyze a new damping approach called backward step control for the globalization of the convergence of Newton-type methods for the numerical solution of nonlinear r...
Andreas Potschka
SIAMNUM
2016
3 years 14 days ago
A Higher Order Finite Element Method for Partial Differential Equations on Surfaces
A new higher order finite element method for elliptic partial differential equations on a stationary smooth surface Γ is introduced and analyzed. We assume that Γ is characteri...
Jörg Grande, Arnold Reusken
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