205
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SIAMNUM
2016
10 years 19 days ago
2016
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...
124
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SIAMNUM
2016
10 years 19 days ago
2016
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...
128
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SIAMNUM
2016
10 years 19 days ago
2016
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...
112
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SIAMMA
2016
10 years 19 days ago
2016
The incompatibility operator arises in the modeling of elastic materials with dislocations and in the intrinsic approach to elasticity, where it is related to the Riemannian curvat...
113
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SIAMMA
2016
10 years 19 days ago
2016
Inspired by numerical studies of the aggregation equation, we study the effect of regularization on nonlocal interaction energies. We consider energies defined via a repulsiveatt...