A $$C^0$$C0 interior penalty method for a von Kármán plate
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DOI: 10.1007/s00211-016-0817-y
Abstract: We investigate a quadratic $$C^0$$C0 interior penalty method for the approximation of isolated solutions of a von Kármán plate. We prove that the discrete problem is uniquely solvable near an isolated solution and establish optimal… read more here.
Keywords: penalty method; interior penalty; von plate;
Penalty method for obliquely reflected diffusions
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DOI: 10.1007/s10986-021-09542-9
Abstract: We approximate of solutions of stochastic differential equations driven by Brownian motion in a smooth domain and obliquely (not necessarily normally) reflected at the boundary. This approximation is done by replacing reflection term with a… read more here.
Keywords: penalty method; method obliquely; penalty; reflected diffusions ... See more keywords
An algorithm inspired by bee colonies coupled to an adaptive penalty method for truss structural optimization problems
Sign Up to like & getrecommendations! Published in 2019 at "Journal of the Brazilian Society of Mechanical Sciences and Engineering"
DOI: 10.1007/s40430-019-1629-7
Abstract: The constrained optimization problems are very common in the engineering field. For instance, in civil, aeronautical, mechanical engineering and so on, this type of problem is largely used to find the best designs of structures… read more here.
Keywords: optimization; adaptive penalty; bee colonies; structural optimization ... See more keywords
Supercloseness of the continuous interior penalty method for singularly perturbed problems in 1D: Vertex-cell interpolation
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DOI: 10.1016/j.apnum.2017.09.003
Abstract: Abstract A continuous interior penalty method with piecewise polynomials of degree p ≥ 2 is applied on a Shishkin mesh to solve a singularly perturbed convection–diffusion problem, whose solution has a single boundary layer. This… read more here.
Keywords: singularly perturbed; penalty method; vertex cell; method ... See more keywords
Optimal convergence analysis of the unilateral contact problem with and without Tresca friction conditions by the penalty method
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DOI: 10.1016/j.jmaa.2018.11.023
Abstract: Abstract We study the linear finite element approximation of the elasticity equations with and without unilateral friction contact (of Tresca type) conditions in a polygonal or polyhedral domain. The unilateral contact condition is weakly imposed… read more here.
Keywords: contact; convergence; penalty method; unilateral contact ... See more keywords
Procedure for non-smooth contact for planar flexible beams with cone complementarity problem
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DOI: 10.1177/1464419320957450
Abstract: Contact description plays an important role in modeling of applications involving flexible multibody dynamics. Example of such applications include contact between a belt and pulley, crash-worthiness analysis in aerospace and automotive engineering. Approaches such as… read more here.
Keywords: penalty method; cone complementarity; complementarity problem; complementarity ... See more keywords