{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-9818167","patent":{"patent_number":"US-9818167","title":"Multi-grid method and apparatus using V cycle","assignee":null,"inventors":[],"filing_date":"2015-09-04T00:00:00.000Z","publication_date":"2017-11-14T00:00:00.000Z","cpc_codes":["G06T","G06F","G06T","G06T","G06T","G06T"],"num_claims":14,"abstract":"A multi-grid method using a V cycle includes: obtaining a first intermediate solution and a first residual by smoothing a cell of a fine level; obtaining a cell of a coarse level by down-sampling the cell of the fine level and setting the first residual as a second residual of the cell of the coarse level; obtaining a high-frequency component solution of the cell of the fine level and obtaining a smoothed high-frequency component solution by smoothing the high-frequency component solution; obtaining a coarse solution in the cell of the coarse level; up-sampling and transferring the coarse solution to the cell of the fine level and obtaining a corrected intermediate solution by adding the first intermediate solution, the smoothed high-frequency component solution and the coarse solution; and obtaining a second intermediate solution by smoothing the corrected intermediate solution."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Multi-grid method and apparatus using V cycle","description":"A multi-grid method using a V cycle includes: obtaining a first intermediate solution and a first residual by smoothing a cell of a fine level; obtaining a cell of a coarse level by down-sampling the ","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-9818167","license":"CC-BY-4.0-like","license_terms":"AI-generated analysis on this page (summary, layman_explanation, technical_analysis, business_analysis, faqs) may be reused with attribution and a visible link back to the canonical URL above. Patent abstracts, claims, and bibliographic data are USPTO public domain.","required_link":"https://patentable.app/patents/US-9818167","citation_suggestion":"Patentable. \"Multi-grid method and apparatus using V cycle\" (US-9818167). https://patentable.app/patents/US-9818167","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-9818167","json":"https://patentable.app/api/llm-context/US-9818167","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-06-06T13:37:06.478Z"}