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Some estimates of virtual element methods for fourth order problems

Qingguang Guan
2021 Electronic Research Archive  

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<p style='text-indent:20px;'>In this paper, we employ the techniques developed for second order operators to obtain the new estimates of Virtual Element Method for fourth order operators. The analysis bases on elements with proper shape regularity. Estimates for projection and interpolation operators are derived. Also, the biharmonic problem is solved by Virtual Element Method, optimal error estimates were obtained. Our choice of the discrete form for the right hand side function relaxes the
more » ... ularity requirement in previous work and the error estimates between exact solutions and the computable numerical solutions were proved.</p>
doi:10.3934/era.2021074 fatcat:snpp3fuifbb3xfroh3uezmxm3q
Citation

Qingguang Guan. "Some estimates of virtual element methods for fourth order problems." Electronic Research Archive 29.6 (2021)